Matrix derivatives and Kronecker products for the core and generalized core inverses

Shuangzhe Liu, Hongxing Wang, Yonghui Liu, Conan Liu

Research output: Contribution to journalArticlepeer-review

Abstract

We first discuss the Moore-Penrose, Drazin, core and some generalized core inverses, and then use the matrix differential calculus to newly establish matrix derivatives for some of the important matrix functions involving these generalized inverses. We present the generalized inverses of the Kronecker product of two matrices as well.

Original languageEnglish
Article number128128
Pages (from-to)1-14
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume535
Issue number1
DOIs
Publication statusE-pub ahead of print - Jan 2024

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